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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 12 · 40 questions
TalentJR

The method (Use the structure): n consecutive numbers with sum S: the middle (average) is S ÷ n. From sum and difference: larger = (sum + difference) ÷ 2, smaller = (sum − difference) ÷ 2. Swapping the digits changes the number by 9 × (difference of the digits). “k times another, difference D”: smaller = D ÷ (k − 1).

NameDateTime takenScore ___ / 40
  1. 1.The sum of 5 consecutive numbers is 40. What is the largest of them?
  2. 2.The sum of 4 consecutive odd numbers is 112. What is the smallest of them?
  3. 3.One number is 2 times another. Their difference is 7. What is the smaller number?
  4. 4.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 36. What is the number?
  5. 5.The sum of two numbers is 98 and their difference is 84. What is the larger number?
  6. 6.The sum of two numbers is 129 and their difference is 25. What is the smaller number?
  7. 7.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 54. What is the number?
  8. 8.The sum of 5 consecutive numbers is 70. What is the smallest of them?
  9. 9.The sum of 3 consecutive odd numbers is 111. What is the smallest of them?
  10. 10.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 36. What is the number?
  11. 11.The sum of two numbers is 183 and their difference is 1. What is the smaller number?
  12. 12.The sum of two numbers is 11 and their difference is 9. What is the larger number?
  13. 13.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 18. What is the number?
  14. 14.The sum of 5 consecutive numbers is 85. What is the smallest of them?
  15. 15.The sum of 4 consecutive even numbers is 244. What is the smallest of them?
  16. 16.The sum of two numbers is 38 and their difference is 16. What is the larger number?
  17. 17.The sum of 3 consecutive even numbers is 228. What is the largest of them?
  18. 18.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 45. What is the number?
  19. 19.The sum of two numbers is 89 and their difference is 61. What is the larger number?
  20. 20.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 27. What is the number?
  21. 21.The sum of 3 consecutive even numbers is 234. What is the largest of them?
  22. 22.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 27. What is the number?
  23. 23.One number is 6 times another. Their difference is 155. What is the smaller number?
  24. 24.The sum of two numbers is 17 and their difference is 15. What is the larger number?
  25. 25.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 63. What is the number?
  26. 26.The sum of 4 consecutive numbers is 54. What is the largest of them?
  27. 27.One number is 6 times another. Their difference is 115. What is the smaller number?
  28. 28.The sum of 5 consecutive numbers is 155. What is the smallest of them?
  29. 29.The sum of 3 consecutive numbers is 129. What is the largest of them?
  30. 30.The sum of two numbers is 94 and their difference is 44. What is the larger number?
  31. 31.The sum of 4 consecutive odd numbers is 176. What is the largest of them?
  32. 32.The sum of two numbers is 35 and their difference is 23. What is the larger number?
  33. 33.The sum of two numbers is 92 and their difference is 28. What is the smaller number?
  34. 34.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 9. What is the number?
  35. 35.The sum of 3 consecutive odd numbers is 231. What is the smallest of them?
  36. 36.One number is 2 times another. Their difference is 15. What is the smaller number?
  37. 37.The sum of 3 consecutive numbers is 147. What is the smallest of them?
  38. 38.The sum of two numbers is 101 and their difference is 91. What is the smaller number?
  39. 39.The sum of two numbers is 86 and their difference is 24. What is the larger number?
  40. 40.The sum of 4 consecutive numbers is 42. What is the largest of them?

Answer key

  1. 10
  2. 25
  3. 7
  4. 37
  5. 91
  6. 52
  7. 39
  8. 12
  9. 35
  10. 59
  11. 91
  12. 10
  13. 68
  14. 15
  15. 58
  16. 27
  17. 78
  18. 49
  19. 75
  20. 14
  21. 80
  22. 47
  23. 31
  24. 16
  25. 29
  26. 15
  27. 23
  28. 29
  29. 44
  30. 69
  31. 47
  32. 29
  33. 32
  34. 34
  35. 75
  36. 15
  37. 48
  38. 5
  39. 55
  40. 12

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